深埋洞室镶有圆形衬砌的复变函数弹性应力解析  

Complex Variable Function-Based Elastic Stress Analysis Solution for a Deeply-Buried Cavern with a Circular Lining

作　　者：袁维[1,2] 傅鹤林 张加兵[1] 黄震[1] 

机构地区：[1]中南大学土木工程学院,长沙410075 [2]中国电建集团中南勘测设计研究院,长沙410014

出　　处：《现代隧道技术》2017年第5期30-35,共6页Modern Tunnelling Technology

基　　金：国家自然科学基金资助项目(51578500;E080506)

摘　　要：针对深埋洞室镶有圆形衬砌的应力接触问题,文章利用复变函数幂级数解法,从边界条件和接触条件出发,推导出衬砌与围岩的应力分量表达式,并采用弹性力学轴对称应力的一般性解答式进行验证求解,得到相同的弹性精确解,从而验证了该复变函数求解方法的正确性,为利用复变函数法求解不规则荷载作用下的围岩及衬砌应力提供了新的思路。Aiming at the stress contact issue of a deeply-buried cavern with a circular lining, an expression for the stress components of the surrounding rock and lining is derived by means of a power-series solution of complex vari- able function from the perspectives of the boundary and contact conditions. It is verified by solving the generalized solution formula of the axisymmetric stress of the elastic mechanics, and the same exact solution is obtained for elas- ticity, which verifies the accuracy of this complex variable function and provides new considerations for the solution of stress on the surrounding rock and lining under irregular loading by using a complex variable function.

关 键 词：深埋洞室 圆形衬砌 复变函数 弹性应力 

分 类 号：U451[建筑科学—桥梁与隧道工程] TU45[交通运输工程—道路与铁道工程]